Delta Decay in Nuclear Medium

Abstract

Proton-nucleus collisions, where the beam proton gets excited to the delta resonance and then decays to p${\pi }^{+}$, either inside or outside the nuclear medium, are studied. Cross-sections for various kinematics for the (p,p${}^{\prime }{\pi }^{+}$) reaction between 500 MeV and 1 GeV beam energy are calculated to see the effects of the nuclear medium on the propagation and decay of the resonance. The cross-sections studied include proton energy spectra in coincidence with the pion, four momentum transfer distributions, and the invariant p${\pi }^{+}$ mass distributions. We find that the effect of the nuclear medium on these cross-sections mainly reduces their magnitudes. Comparing these cross-sections with those considering the decay of the delta outside the nucleus only, we further find that at 500 MeV the two sets of cross-sections have large differences, while by 1 GeV the differences between them become much smaller.

Latex, 23 pages, 11 figures (not included, can be obtained on request); Submitted to Phy. Rev. C

References in corpus (1)

• Pionic Content of Rho-N-N and Rho-N-Delta Vertex Functions

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